The unit ball of the space of bilinear forms on R3 with the supremum norm

Sung Guen Kim

doi:10.4134/CKMS.C180111

The unit ball of the space of bilinear forms on R³ with the supremum norm

Sung Guen Kim

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

We classify all the extreme and exposed bilinear forms of the unit ball of (Formula presented) which leads to a complete formula of ||f|| for every (Formula presented). It follows from this formula that every extreme bilinear form of the unit ball of (Formula presented) is exposed.

Original language	English
Pages (from-to)	487-494
Number of pages	8
Journal	Communications of the Korean Mathematical Society
Volume	34
Issue number	2
DOIs	https://doi.org/10.4134/CKMS.C180111
State	Published - 2019

Keywords

bilinear forms on R
exposed points
extreme points

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10.4134/CKMS.C180111

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title = "The unit ball of the space of bilinear forms on R3 with the supremum norm",

abstract = "We classify all the extreme and exposed bilinear forms of the unit ball of (Formula presented) which leads to a complete formula of ||f|| for every (Formula presented). It follows from this formula that every extreme bilinear form of the unit ball of (Formula presented) is exposed.",

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AB - We classify all the extreme and exposed bilinear forms of the unit ball of (Formula presented) which leads to a complete formula of ||f|| for every (Formula presented). It follows from this formula that every extreme bilinear form of the unit ball of (Formula presented) is exposed.

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KW - exposed points

KW - extreme points

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DO - 10.4134/CKMS.C180111

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SN - 1225-1763

VL - 34

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EP - 494

JO - Communications of the Korean Mathematical Society

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IS - 2

ER -

The unit ball of the space of bilinear forms on R³ with the supremum norm

Abstract

Keywords

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